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Finding the Third Proportional to 6,631,200 and 9,729,216

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Solution

The third proportional to 6,631,200 and 9,729,216 is: 14,274,587.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,631,200 : 9,729,216 = 9,729,216 : x
  2. Step 2: Convert to fraction form
    6,631,200/9,729,216 = 9,729,216/x
  3. Step 3: Cross multiply
    6,631,200x = 9,729,216 × 9,729,216
  4. Step 4: Simplify right side
    6,631,200x = 94,657,643,974,656
  5. Step 5: Solve for x
    x = 94,657,643,974,656/6,631,200
  6. Step 6: Final answer
    x = 14,274,587.40

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.